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Finding the Fourth Proportional to 25,909, 35,754.42 and 14,733.16

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Solution

The fourth proportional to 25,909, 35,754.42 and 14,733.16 is: 20,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909 : 35,754.42 = 14,733.16 : x
  2. Step 2: Convert to fraction form
    25,909/35,754.42 = 14,733.16/x
  3. Step 3: Cross multiply
    25,909x = 35,754.42 × 14,733.16
  4. Step 4: Simplify right side
    25,909x = 526,775,590.57
  5. Step 5: Solve for x
    x = 526,775,590.57/25,909
  6. Step 6: Final answer
    x = 20,331.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.